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Shah Makhdum Police Station OC Zillur Rahman said the accident occurred on Naogaon-Rajshahi Highway near Baya Uttara Cold Storage around 2:30pm on Friday.
The deceased are motorcycle riders Shaheedul Islam, 45, his wife 'Shamima', 35, and bus passenger 'Khorshed', 35.
OC Zillur said the Rajshahi-bound bus was overtaking a human haulier locally called 'Bhatbhati' when it hit the motorcycle head-on and fell in the pond.
The couple riding the motorcycle died on the spot while the bus passenger died later at a hospital.
He added Fire Service personnel sent at least 14 passengers of the bus, who were injured in the accident, to the Rajshahi Medical College Hospital.